Trigonometry Examples

$y > 1 + \sin (2 x)$

Step 1

Find the slope and the y-intercept for the boundary line.

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Step 1.1

Rewrite in slope-intercept form.

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Step 1.1.1

The slope-intercept form is $y = m x + b$ , where $m$ is the slope and $b$ is the y-intercept.

$y = m x + b$

Step 1.1.2

Arrange the polynomial to follow the $y = m x + b$ form for slope and y-intercept.

$y = \sin (2 x) + 1$

Step 1.2

The equation is not linear, so a constant slope does not exist.

Not Linear

Step 2

Graph a dashed line, then shade the area above the boundary line since $y$ is greater than $1 + \sin (2 x)$ .

$y > 1 + \sin (2 x)$

Step 3